Advanced Mathematics (Engineering) - Volume 1

Author: Tsinghua University Press
Publisher:
Publish Date: 2005-01-10
Features: This book is divided into two volumes, containing a total of 5 parts and 16 chapters. The first volume includes two parts: Calculus and Ordinary Differential Equations, covering 9 chapters on functions, limits and continuity, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals, applications of definite integrals, and calculus of binary functions as well as ordinary differential equations. The second volume includes three parts: Laplace Transform and Infinite Series, Fundamentals of Linear Algebra, and Probability Theory and Mathematical Statistics, featuring 7 chapters on Laplace transforms, infinite series, determinants, matrices, systems of linear equations, probability theory, and an introduction to mathematical statistics. Each chapter is accompanied by a certain number of exercises, and answers to all exercises are provided at the end of each volume. This book is designed to align with the practical content of secondary school textbooks and the new curriculum reform for senior high schools, offering a moderate starting point with highlighted key content and clear organization. The modular arrangement facilitates selective teaching, and the exercises are thoughtfully matched to the text, with varying difficulty levels. The language is concise, well-structured, and easy to understand, making it suitable for self-study. This book can serve as a higher mathematics textbook for engineering majors in vocational and technical colleges, adult education institutions, and also as a reference for self-study by students majoring in mathematics.